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utsv
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Standard deviation question 06 Jul 2006, 07:30
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Below is a standard deviation, DS question I recently had. Any help is greatly appreciated...

Is the range of a set greater than 1000?

1) The median of the set is 1000

2) The standard deviation is 500



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v1rok
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Standard deviation question 06 Jul 2006, 07:59
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I would be very surprised if the answer is not (E)

I am sure it cannot be (A) and (B) and (D).

(C)? I doubt it..
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sgrover
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Standard deviation question 06 Jul 2006, 10:32
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another one for (E)
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necromonger
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Standard deviation question 06 Jul 2006, 18:50
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utsv
Below is a standard deviation, DS question I recently had. Any help is greatly appreciated...

Is the range of a set greater than 1000?

1) The median of the set is 1000

2) The standard deviation is 500
Show more


(E)? (1) is INSUFF and with (2) we can't say if the range =1000 or >
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Zooroopa
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Standard deviation question 06 Jul 2006, 19:54
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Sounds like E to me.
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shampoo
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Standard deviation question 06 Jul 2006, 20:05
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E aswell.
What if the question was, is the range greater then 999?
Ans would be B right? SD is 500 so min range would be 1000. Correct me if I am wrong.
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ps_dahiya
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Standard deviation question 06 Jul 2006, 21:31
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St1 is clearly INSUFF

But please clear my doubts about St2.

One SD away form the mean covers 68.2% of the values.
Two SD away form the mean covers 95.4% of the values.

Let mean = x
Two SD away on lower side = x-1000
Two SD away on upper side = x+1000

So range will be greater than x+1000 - (x-1000) = 2000 irrespective of value of mean.
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sharadGmat
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Standard deviation question 06 Jul 2006, 21:51
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ps_dahiya
St1 is clearly INSUFF

But please clear my doubts about St2.

One SD away form the mean covers 68.2% of the values.
Two SD away form the mean covers 95.4% of the values.

Let mean = x
Two SD away on lower side = x-1000
Two SD away on upper side = x+1000

So range will be greater than x+1000 - (x-1000) = 2000 irrespective of value of mean.
Show more


B for me too... 2 standard deviations on either side covers 98%.. So there is still 2 more % to go..



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!